Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...

Graphical Representation of Inequalities

Graphical Representation of Inequalities

The graph of the equation where y equals x squared forms a curve known as a parabola. This curve acts as a boundary in the coordinate plane, dividing it into distinct regions based on the relative position of points.When the equality sign in the equation is replaced with an inequality—such as greater than, less than, greater than or equal to, or less than or equal to—the graphical representation changes from a single curve into a broader shaded area that signifies the set of all points...

Graphs of Equations in Two Variables

Graphs of Equations in Two Variables

An equation with two variables, typically written in the form y = f(x) or Ax + By = C, describes a relationship between quantities represented by x and y. Each solution to such an equation is an ordered pair (x, y) that satisfies the equation when substituted. These pairs can be represented graphically to understand the variables' relationship visually.A common technique for constructing the graph of a two-variable equation is to create a value table. Begin by choosing several values for the...

Block Diagram Reduction

Block Diagram Reduction

The process of deriving the transfer function of a control system often involves reducing its block diagram to a single block. This simplification can be achieved through a series of strategic operations, including relocating branch points and comparators. These operations preserve the overall function of the system while allowing for easier manipulation and combination of blocks.
The first step in this process is the identification and relocation of a branch point. A branch point, where a...

Reversible and Irreversible Processes

Reversible and Irreversible Processes

The thermodynamic processes can be classified into reversible and irreversible processes. The processes that can be restored to their initial state are called reversible processes. It is only possible if the process is in quasi-static equilibrium, i.e., it takes place in infinitesimally small steps, and the system remains at equilibrium However, these are ideal processes and do not occur naturally. An ideal system undergoing a reversible process is always in thermodynamic equilibrium within...

Graphs of Functions

Graphs of Functions

Graphs of functions provide a visual representation of how output values change in response to varying inputs. Each point on the graph corresponds to an ordered pair, where the x-coordinate (independent variable) determines the horizontal position and the y-coordinate (dependent variable) determines the vertical position. Linear functions like y = x give a straight line, indicating a constant rate of change.Nonlinear functions display more complex behaviors. Even power functions generate...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

An efficient ECC and fuzzy verifier based user authentication protocol for IoT enabled WSNs.

Scientific reports·2025

Same author

Crayfish optimization based pixel selection using block scrambling based encryption for secure cloud computing environment.

Scientific reports·2025

Same author

Optimization with photonic wave-based annealers.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2022

Same author

Provision of a local anaesthetic minor procedures service by surgical advanced clinical practitioners: 5-year study.

BJS open·2021

Same author

Marine Enzymes and Microorganisms for Bioethanol Production.

Advances in food and nutrition research·2017

Same author

Melt-compounded composites of ethylene vinyl acetate with magnesium sulfate as flexible EPR dosimeters: Mechanical properties, manufacturing process feasibility and dosimetric characteristics.

Applied radiation and isotopes : including data, instrumentation and methods for use in agriculture, industry and medicine·2017

Search research articles

Related Experiment Video

Updated: Jun 4, 2026

Generating Strictly Controlled Stimuli for Figure Recognition Experiments

Generating Strictly Controlled Stimuli for Figure Recognition Experiments

Published on: March 18, 2019

Output-Sensitive Construction of Reeb Graphs.

H Doraiswamy, V Natarajan

IEEE Transactions on Visualization and Computer Graphics

|February 9, 2011

Summary

This summary is machine-generated.

This study presents an efficient algorithm for computing Reeb graphs, which map scalar function topology. The new method simplifies Reeb graph computation by using level set equivalences, enabling better data analysis.

More Related Videos

Modeling Verbal Behavior Deficits with the Stimulus Control Ratio Equation, SCoRE

Modeling Verbal Behavior Deficits with the Stimulus Control Ratio Equation, SCoRE

Published on: May 14, 2019

Related Experiment Videos

Last Updated: Jun 4, 2026

Generating Strictly Controlled Stimuli for Figure Recognition Experiments

Generating Strictly Controlled Stimuli for Figure Recognition Experiments

Published on: March 18, 2019

Modeling Verbal Behavior Deficits with the Stimulus Control Ratio Equation, SCoRE

Modeling Verbal Behavior Deficits with the Stimulus Control Ratio Equation, SCoRE

Published on: May 14, 2019

Area of Science:

Computational topology
Data visualization
Scientific computing

Background:

Reeb graphs capture the topology of scalar function level sets.
Existing methods for Reeb graph computation can be complex and computationally intensive.

Purpose of the Study:

To develop a near-optimal, output-sensitive algorithm for computing Reeb graphs.
To introduce an efficient and simplified approach to Reeb graph construction for scalar functions.
To enhance the visual analysis of scalar fields through effective Reeb graph representation and applications.

Main Methods:

An alternate Reeb graph definition using equivalence classes of level sets.
A two-step algorithm: critical point localization followed by arc computation.
A search procedure on a small domain subset for arc generation.

Main Results:

A near-optimal, output-sensitive algorithm for Reeb graph computation.
Demonstrated simplicity and efficiency through an alternate definition.
Developed controlled simplification and graph layout schemes for effective presentation.

Conclusions:

The proposed algorithm offers an efficient and robust method for Reeb graph computation.
The alternate definition simplifies the computation process.
Reeb graphs have broad applicability in surface segmentation, transfer function design, and data exploration.